Eric Chung's web page

Eric T. Chung is a Professor in the Department of Mathematics in The Chinese University of Hong Kong [cuhk web]. He obtained PhD degree from University of California at Los Angeles [ucla web]. His Ph.D. thesis advisor is Prof. Bjorn Engquist [his info]. His research interests are Discontinuous Galerkin Methods, Computational Wave Propagation, Fluid Flow in Heterogeneous Media, Multiscale Model Reduction Techniques, Adaptivity for Multiscale Problems, Domain Decomposition Methods, Seismic Imaging and Travel Time Tomography.

Education:
  • PhD (2005), University of California at Los Angeles, Advisor: Bjorn Engquist
  • MPhil (2000), The Chinese University of Hong Kong
  • BSc (1998), The Chinese University of Hong Kong

Experience:
  • August 2017 - present: Professor, Department of Mathematics, The Chinese University of Hong Kong
  • January 2015 - present: Adjunct Professsor, Department of Mathematics, Texas A&M University
  • July 2014 - July 2017: Associate Professor, Department of Mathematics, The Chinese University of Hong Kong
  • July 2008 - June 2014: Assistant Professor, Department of Mathematics, The Chinese University of Hong Kong
  • July 2006 - June 2008: von Karman Instructor, Applied and Computational Mathematics, California Institute of Technology
  • July 2005 - June 2006: Visiting Assistant Professor, Mathematics Department, University of California at Irvine
  • July 2005 - August 2005: Faculty mentor, IPAM, UCLA

Current Research Interest:
  • Generalized multiscale finite element methods (GMsFEM)
  • GMsFEM for time-dependent problems, and adaptivity
  • GMsFEM for convection-diffusion equations, and stabilization techniques
  • Space-time multiscale methods
  • Nonlocal multicontinua upscaling (NLMC)
  • Nonlinear upscaling for transport equations
  • Discontinuous Galerkin methods for wave propagation and fluid flow
  • Adaptive coarse spaces for domain decomposition methods
  • Traveltime tomography
  • Deep learning methods for multiscale problems

Editorial Board:
  • Computers & Mathematics with Applications (January 2018 - present)
  • GEM - International Journal on Geomathematics (February 2017 - present)
  • Journal of Computational and Applied Mathematics (April 2011 - present)

Award:
  • Hong Kong Mathematical Society Young Scholar Award 2017

Submitted Paper:
  1. Yating Wang, Siu Wun Cheung, Eric T. Chung, Yalchin Efendiev and Min Wang. Deep multiscale model learning.
  2. Yanfang Yang, Shubin Fu and Eric T. Chung. Online mixed multiscale finite element method with oversampling and its applications.
  3. Jie Chen, Eric T. Chung, Zhengkang He and Shuyu Sun. Generalized multiscale approximation of mixed finite elements with velocity elimination for subsurface flow.
  4. Eric T. Chung, Yalchin Efendiev and Wing Tat Leung. Multiscale stabilization for convection diffusion equations with heterogeneous velocity and diffusion coefficients.
  5. Siu Wun Cheung, Eric T. Chung, Yalchin Efendiev, Eduardo Gildin and Yating Wang. Deep global model reduction learning.
  6. Siu Wun Cheung, Eric T. Chung, Yalchin Efendiev, Wing Tat Leung and Maria Vasilyeva. Constraint energy minimizing generalized multiscale finite element method for dual continuum model.
  7. Hyea Hyun Kim, Eric T. Chung and Junxian Wang. A two-level overlapping Schwarz method using energy minimizing multiscale finite element functions.
  8. Eric Chung, Yalchin Efendiev, Yanbo Li and Qin Li. Generalized multiscale finite element method for the steady state linear Boltzmann equation.
  9. Lina Zhao, Eun-Jae Park and Eric T. Chung. Staggered discontinuous Galerkin methods for the Helmholtz equations with large wave number.
  10. Denis Spiridonov, Maria Vasilyeva and Eric T. Chung. Generalized multiscale finite element method for multicontinua unsaturated flow problems in fractured porous media.
  11. Lina Zhao, Eric Chung, Eun-Jae Park and Guanyu Zhou. Staggered DG method for coupling of the Stokes and Darcy-Forchheimer problems.
  12. Maria Vasilyeva, Wing T. Leung, Eric T. Chung, Yalchin Efendiev and Mary Wheeler. Learning macroscopic parameters in nonlinear multiscale simulations using nonlocal multicontinua upscaling techniques.
  13. Aleksei Tyrylgin, Maria Vasilyeva, Denis Spiridonov and Eric T. Chung. Generalized multiscale finite element method for the poroelasticity problem in multicontinuum media.
  14. Lina Zhao and Eric Chung. A posteriori error estimates for the mortar staggered DG method.
  15. Eric Chung, Kazufumi Ito and Masahiro Yamamoto. Least square formulation for ill-posed inverse problems and applications.
  16. Eric Chung and Sai-Mang Pun. Computational multiscale methods for first-order wave equation using mixed CEM-GMsFEM.
  17. Siu Wun Cheung, Eric Chung and Wing Tat Leung. Constraint energy minimizing generalized multiscale discontinuous Galerkin method.
  18. Shubin Fu, Eric Chung and Tina Mai. Constraint energy minimizing generalized multiscale finite element method for nonlinear poroelasticity and elasticity.
  19. Denis Spiridonov, Jian Huang, Maria Vasilyeva, Yunqing Huang and Eric T. Chung. Mixed generalized multiscale finite element method for Darcy-Forchheimer model.

Publication:
  1. Lina Zhao and Eric Chung. An analysis of the NLMC upscaling method for high contrast problems. Accepted by Journal of Computational and Applied Mathematics.
  2. Wing T. Leung, Eric T. Chung, Yalchin Efendiev, Maria Vasilyeva and Mary Wheeler. Space-time nonlinear upscaling framework using non-local multi-continuum approach. Accepted by International Journal for Multiscale Computational Engineering.
  3. Shubin Fu, Kai Gao and Eric T. Chung. A high-order multiscale finite-element method for time-domain elastic wave modeling in strongly heterogeneous media. Accepted by Journal of Applied Geophysics.
  4. Maria Vasilyeva, Eric T. Chung, Wing Tat Leung and Valentin Alekseev. Nonlocal multicontinuum (NLMC) upscaling of mixed dimensional coupled flow problem for embedded and discrete fracture models. Accepted by GEM International Journal on Geomathematics.
  5. Min Wang, Siu Wun Cheung, Wing Tat Leung, Eric T. Chung, Yalchin Efendiev and Mary Wheeler. Reduced-order deep learning for flow dynamics. The interplay between deep learning and model reduction. Accepted by Journal of Computational Physics.
  6. Dmitry Ammosov, Maria Vasilyeva, Masoud Babaei and Eric T. Chung. A coupled dual continuum and discrete fracture model for subsurface heat recovery with thermoporoelastic effects. Mathematical Notes of NEFU, 26 (2019), pp. 93-105.
    [download]
  7. Shubin Fu and Eric T. Chung. A local-global multiscale mortar mixed finite element method for multiphase transport in heterogeneous media. Accepted by Journal of Computational Physics.
  8. Eric Chung and Sai-Mang Pun. Online adaptive basis enrichment for mixed CEM-GMsFEM. Accepted by SIAM Multiscale Modeling and Simulation.
  9. Guanyu Zhou, Takahito Kashiwabara, Issei Oikawa, Eric Chung and Ming-Cheng Shiue. Some DG schemes for the Stokes-Darcy problem using P1/P1 element. Accepted by Japan Journal of Industrial and Applied Mathematics.
  10. Min Wang, Siu Wun Cheung, Eric T. Chung, Maria Vasilyeva and Yuhe Wang. Generalized multiscale multicontinuum model for fractured vuggy carbonate reservoirs. Accepted by Journal of Computational and Applied Mathematics.
  11. Shubin Fu, Eric Chung and Guanglian Li. Edge multiscale methods for elliptic problems with heterogeneous coefficients. Accepted by Journal of Computational Physics.
  12. Shubin Fu, Robert Altmann, Eric T. Chung, Roland Maier, Daniel Peterseim and Sai-Mang Pun. Computational multiscale methods for linear poroelasticity with high contrast. Accepted by Journal of Computational Physics.
  13. Mengnan Li, Eric Chung and Lijian Jiang. A constraint energy minimizing generalized multiscale finite element method for parabolic equations. Accepted by SIAM Multiscale Modeling and Simulation.
  14. Eric Chung, Sara Pollock and Sai-Mang Pun. Online basis construction for goal-oriented adaptivity in the generalized multiscale finite element method. Accepted by Journal of Computational Physics.
  15. Tak Shing Au Yeung, Eric T. Chung and Gunther Uhlmann. Numerical inversion of 3D geodesic X-ray transform arising from traveltime tomography. Accepted by SIAM Journal on Imaging Sciences.
  16. Min Wang, Siu Wun Cheung, Eric Chung, Yalchin Efendiev, Wing Tat Leung and Yating Wang. Prediction of discretization of GMsFEM using deep learning. Mathematics, 7 (2019).
  17. Maria Vasilyeva, Eric T. Chung, Yalchin Efendiev and Aleksey Tyrylgin. A three-level multi-continua upscaling method for flow problems in fractured porous media. Accepted by Communications in Computational Physics.
  18. Jie Du, Yang Yang and Eric Chung. Stability analysis and error estimates of local discontinuous Galerkin methods for convection-diffusion equations on overlapping meshes. Accepted by BIT Numerical Mathematics.
  19. Shubin Fu and Eric T. Chung. Constraint energy minimizing generalized multiscale finite element method for high-contrast linear elasticity problem. Accepted by Communications in Computational Physics.
  20. Shubin Fu, Kai Gao, Richard L. Gibson and Eric T. Chung. An efficient high-order multiscale finite-element method for frequency-domain elastic wave modeling. Accepted by Computational Geosciences.
  21. Shubin Fu, Eric Chung and Tina Mai. Generalized multiscale finite element method for a strain-limiting nonlinear elasticity model. Accepted by Journal of Computational and Applied Mathematics.
  22. Yanfang Yang, Shubin Fu and Eric T. Chung. A two-grid preconditioner with an adaptive coarse space for flow simulations in highly heterogeneous media. Journal of Computational Physics, 391 (2019), pp. 1-13.
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  23. Maria Vasilyeva, Masoud Babaei, Eric T. Chung and Valentin Alekseev. Upscaling of the flow and heat transport problems in fractured geothermal reservoirs using nonlocal multicontinuum method. Computational Geosciences, 23 (2019), pp. 1-15.
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  24. Maria Vasilyeva, Eric T. Chung, Siu Wun Cheung, Yating Wang and Georgy Prokopev. Nonlocal multicontinua upscaling for multicontinua flow problems in fractured porous media. Accepted by Journal of Computational and Applied Mathematics.
  25. Eric T. Chung, Sai-Mang Pun and Zhiwen Zhang. An adaptive dynamically low-dimensional approximation method for multiscale stochastic diffusion equations. Journal of Computational and Applied Mathematics, 356 (2019), pp. 302-313.
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  26. Maria Vasilyeva, Eric T. Chung, Wing Tat Leung, Yating Wang and Denis Spiridonov. Upscaling method for problems in perforated domains with non-homogeneous boundary conditions on perforations using non-local multi-continuum method (NLMC). Journal of Computational and Appplied Mathematics, 357 (2019), pp. 215-227.
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  27. Robert Altmann, Eric Chung, Roland Maier, Daniel Peterseim and Sai-Mang Pun. Computational multiscale methods for linear heterogeneous poroelasticity. Accepted by Journal of Computational Mathematics.
  28. Maria Vasilyeva, Masoud Babaei, Eric T. Chung and Denis Spiridonov. Multiscale modeling of heat and mass transfer in fractured media for enhanced geothermal systems applications. Applied Mathematical Modeling, 67 (2019), pp. 159-178.
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  29. Maria Vasilyeva, Eric T. Chung, Yalchin Efendiev and Jihoon Kim. Constrained energy minimization based upscaling for coupled flow and mechanics. Accepted by Journal of Computational Physics.
  30. Eric Chung, Yalchin Efendiev and Wing Tat Leung. Generalized multiscale finite element methods with energy minimizing oversampling. International Journal for Numerical Methods in Engineering, 117 (2019), pp. 316-343.
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  31. Wing Tat Leung, Eric T. Chung, Yalchin Efendiev and Mary Wheeler. Nonlinear nonlocal multicontinua upscaling framework and its applications. To appear in Internatinal Journal for Multiscale Computational Engineering.
  32. Eric T. Chung and Chak Shing Lee. A mixed generalized multiscale finite element method for planar linear elasticity. Journal of Computational and Applied Mathematics, 348 (2019), pp. 298-313.
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  33. Eric T. Chung, Yalchin Efendiev and Yanbo Li. Space-time multiscale model reduction for transport equations. To appear in GEM International Journal on Geomathematics.
  34. Eric T. Chung and Yanbo Li. Adpative generalized multiscale finite element methods for H(curl)-elliptic problems with heterogeneous coefficients. Journal of Computational and Applied Mathematics, 345 (2019), pp. 357-373.
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  35. Eric T. Chung, Yalchin Efendiev, Wing Tat Leung and Zhiwen Zhang. Cluster-based generalized multiscale finite element method for elliptic PDEs with random coefficients. Journal of Computational Physics, 371 (2018), pp. 606-617.
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  36. Eric T. Chung, Yalchin Efendiev, Wing Tat Leung, Yating Wang and Maria Vasilyeva. Non-local multi-continua upscaling for flows in heterogeneous fractured media. Journal of Computational Physics, 372 (2018), pp. 22-34.
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  37. Eric Chung, Yalchin Efendiev and Wing Tat Leung. An adaptive generalized multiscale discontinuous Galerkin method for high-contrast flow problems. SIAM Multiscale Modeling and Simulation, 16 (2018), pp. 1227-1257.
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  38. Eric Chung, Yalchin Efendiev, Wing Tat Leung and Shuai Ye. Generalized multiscale finite element methods for space-time heterogeneous parabolic equations. Computers and Mathematics with Applications, 76 (2018), pp. 419-437.
    [download]
  39. Eric Chung, Yalchin Efendiev and Wing Tat Leung. Constraint energy minimizing generalized multiscale finite element method. Computer Methods in Applied Mechanics and Engineering, 339 (2018), pp. 298-319.
    [download]
  40. Jie Du and Eric Chung. An adaptive staggered discontinuous Galerkin method for the steady state convection-diffusion equation. Journal of Scientific Computing, 77 (2018), pp. 1490-1518.
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  41. Fuchen Chen, Eric Chung and Lijian Jiang. Adaptive least-squares generalized multiscale finite element method. SIAM Multiscale Modeling and Simulation, 16 (2018), pp. 1034-1058.
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  42. Yanfang Yang, Eric T. Chung and Shubin Fu. Residual driven online mortar mixed finite element methods and applications. Journal of Computational and Applied Mathematics, 340 (2018), pp. 318-333.
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  43. Jie Du, Eric T. Chung, Ming Fai Lam and Xiao-Ping Wang. Discontinuous Galerkin method with staggered hybridization for a class of nonlinear Stokes equations. Journal of Scientific Computing, 76 (2018), pp. 1547-1577.
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  44. Hyea Hyun Kim, Eric Chung and Junxian Wang. BDDC and FETI-DP algorithms with a change of basis formulation on adaptive primal constraints. Electronic Transactions on Numerical Analysis, 49 (2018), pp. 64-80.
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  45. Eric T. Chung, Yalchin Efendiev, Bangti Jin, Wing Tat Leung and Maria Vasilyeva. Generalized multiscale inversion for heterogeneous problems. Communications in Computational Physics, 25 (2019), pp. 1213-1234.
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  46. Eric T. Chung, Yalchin Efendiev and Wing Tat Leung. Fast online generalized multiscale finite element method using constraint energy minimization. Journal of Computational Physics, 355 (2018), pp. 450-463.
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  47. Eric Chung, Yalchin Efendiev and Wing Tat Leung. Constraint energy minimizing generalized multiscale finite element method in the mixed formulation. Computational Geosciences, 22 (2018), pp. 677-693.
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  48. Kai Gao, Shubin Fu and Eric T. Chung. A high-order multiscale finite-element method for time-domain acoustic-wave modeling. Journal of Computational Physics, 360 (2018), pp. 120-136.
    [download]
  49. Kai Gao, Shubin Fu and Eric T. Chung. An efficient multiscale finite-element method for frequency-domain seismic wave propagation. Bulletin of the Seismological Society of America, 108 (2018), pp. 966-982.
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  50. Siu Wun Cheung and Eric T. Chung. An embedded SDG method for the convection-diffusion equation. International Journal of Numerical Analysis and Modeling, 16 (2019), pp. 255-275.
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  51. Pengfei Wang, Xinshi Chen, Cameron Goldbeck, Eric Chung and Byung-Ho Kang. A distinct class of vesicles derived from the trans-Golgi mediates secretion of xylogalacturonan in the root border cell. The Plant Journal 2017
  52. Eric T. Chung, Eun-Jae Park and Lina Zhao. Guaranteed a posteriori error estimates for a staggered discontinuous Galerkin method. Journal of Scientific Computing, 75 (2018), pp. 1079-1101.
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  53. Eric Chung, Wing Tat Leung, Maria Vasilyeva and Yating Wang. Multiscale model reduction for transport and flow problems in perforated domains. Journal of Computational and Applied Mathematics, 330 (2018), pp. 519-535.
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  54. Hyea Hyun Kim, Eric T. Chung and Junxian Wang. BDDC and FETI-DP algorithms with adaptive coarse spaces for three-dimensional elliptic problems with oscillatory and high contrast coefficients. Journal of Computational Physics, 349 (2017), pp. 191-214.
    [download]
  55. Eric Chung, Chi Yeung Lam and Jianliang Qian. A ray-based IPDG method for high-frequency time-domain acoustic wave propagation in inhomogeneous media. Journal of Computational Physics, 348 (2017), pp. 660-682.
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  56. Siu Wun Cheung, Eric Chung and Hyea Hyun Kim. A mass conservative scheme for fluid-structure interaction problems by the staggered discontinuous Galerkin method. Journal of Scientific Computing, 74 (2018), pp. 1423-1456.
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  57. Eric Chung, Jie Du and Chi Yeung Lam. Discontinuous Galerkin methods with staggered hybridization for linear elastodynamics. Computers and Mathematics with Applications, 74 (2017), pp. 1198-1214.
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  58. Eric Chung, Sara Pollock and Sai-Mang Pun. Goal-oriented adaptivity of mixed GMsFEM for flows in heterogeneous media. Computer Methods in Applied Mechanics and Engineering, 323 (2017), pp. 151-173.
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  59. Eric T. Chung, Shubin Fu and Yanfang Yang. An enriched multiscale mortar space for high contrast flow problems. Communications in Computational Physics, 23 (2018), pp. 476-499.
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  60. Eric T. Chung, Maria Vasilyeva and Yating Wang. A conservative local multiscale model reduction technique for Stokes flows in heterogeneous perforated domains. Journal of Computational and Applied Mathematics, 321 (2017), pp. 389-405.
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  61. Manal Alotaibi and Eric Chung. Global-local model reduction for heterogeneous Forchheimer flow. Journal of Computational and Applied Mathematics, 321 (2017), pp. 160-184.
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  62. Eric T. Chung, Yalchin Efendiev, Wing Tat Leung and Maria Vasilyeva. Coupling of multiscale and multi-continuum approaches. GEM International Journal on Geomathematics, 8 (2017), pp. 9-41.
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  63. Eric T. Chung and Weifeng Qiu. Analysis of a SDG method for the incompressible Navier-Stokes equations. SIAM Journal on Numerical Analysis, 55 (2017), pp. 543-569.
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  64. Eric Chung, Yalchin Efendiev, Richard Gibson and Wing Tat Leung. Residual-driven online multiscale methods for acoustic-wave propagation in 2D heterogeneous media. Geophysics, 82 (2017), pp. T69-T77.
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  65. Eric T. Chung, Yalchin Efendiev, Ke Shi and Shuai Ye. A multiscale model reduction method for nonlinear monotone elliptic equations in heterogeneous media. To appear in Networks and Heterogeneous Media.
  66. Eric T. Chung, Yalchin Efendiev, Maria Vasilyeva and Yating Wang. A multiscale discontinuous Galerkin method in perforated domains. Proceedings of the Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan.
  67. Fuchen Chen, Eric Chung and Lijian Jiang. Least-squares mixed generalized multiscale finite element method. Computer Methods in Applied Mechanics and Engineering, 311 (2016), pp. 764-787.
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  68. Hyea Hyun Kim, Eric T. Chung and Chenxiao Xu. A BDDC algorithm with adaptive primal constraints for staggered discontinuous Galerkin approximation of elliptic problems with highly oscillatory coefficients. Journal of Computational and Applied Mathematics, 311 (2017), pp. 599-617.
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  69. Eric T. Chung, Jie Du and Man Chun Yuen. An adaptive SDG method for the Stokes system. Journal of Scientific Computing, (2016), pp. 1-27.
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  70. Ho Yuen Chan, Eric T. Chung and Yalchin Efendiev. Adaptive mixed GMsFEM for flows in heterogeneous media. Numerical Mathematics: Theory, Methods and Applications, 9 (2016), pp. 497-527.
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  71. Eric T. Chung, Yalchin Efendiev, Wing Tat Leung and Maria Vasilyeva. Re-iterated multiscale model reduction using the GMsFEM. International Journal for Multiscale Computational Engineering, 14 (2016), pp. 535-554.
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  72. Eric T. Chung, Yalchin Efendiev, Wing Tat Leung, Maria Vasilyeva and Yating Wang. Online adaptive local multiscale model reduction for heterogeneous problems in perforated domains. Applicable Analysis, (2016).
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  73. Wensheng Zhang, Yuan Zhuang and Eric T. Chung. A new spectral finite volume method for elastic wave modeling on unstructured meshes. Geophysical Journal International, 206 (2016), pp. 292-307.
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  74. Eric T. Chung, Yalchin Efendiev and Wing Tat Leung. An online generalized multiscale discontinuous Galerkin method (GMsDGM) for flow in heterogeneous media. Communications in Computational Physics, 21 (2017), pp. 401-422.
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  75. Eric Chung, Yalchin Efendiev and Thomas Y. Hou. Adaptive multiscale model reduction with generalized multiscale finite element methods. Journal of Computational Physics, 320 (2016), pp. 69-95.
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  76. Eric T. Chung and Wing Tat Leung. Mixed GMsFEM for the simulation of waves in highly heterogeneous media. Journal of Computational and Applied Mathematics, 306 (2016), pp. 69-86.
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  77. Eric Chung, Wing Tat Leung and Maria Vasilyeva. Mixed GMsFEM for second order elliptic problem in perforated domains. Journal of Computational and Applied Mathematics, 304 (2016), pp. 84-99.
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  78. Hyea Hyun Kim, Eric T. Chung and Chi Yeung Lam. Mortar formulation for a class of staggered discontinuous Galerkin methods. Computers and Mathematics with Applications, 71 (2016), pp. 1568-1585.
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  79. Victor Calo, Eric Chung, Yalchin Efendiev and Wing Tat Leung. Multiscale stabilization for convection-dominated diffusion in heterogeneous media. Computer Methods in Applied Mechanics and Engineering, 304 (2016), pp. 359-377.
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  80. Eric Chung, Yalchin Efendiev, Richard L. Gibson and Maria Vasilyeva. A generalized multiscale finite element method for elastic wave propagation in fractured media. GEM International Journal on Geomathematics, (2016), pp. 1-20.
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  81. Eric Chung, Yalchin Efendiev, Tat Wing Leung and Guanglian Li. Sparse generalized multiscale finite element methods and their applications. International Journal for Multiscale Computational Engineering, 14 (2016), pp. 1-23.
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  82. Longfei Gao, Xiaosi Tan and Eric T. Chung. Application of the generalized multiscale finite element method in parameter-dependent PDE simulations with a variable-separation technique. Journal of Computational and Applied Mathematics, 300 (2016), pp. 183-191.
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  83. Eric T. Chung, Wing Tat Leung and Sara Pollock. Goal-oriented adaptivity for GMsFEM. Journal of Computational and Applied Mathematics, 296 (2016), pp. 625-637.
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  84. Eric Chung, Bernardo Cockburn and Guosheng Fu. The staggered DG method is the limit of a hybridizable DG method. Part II: The Stokes flow. Journal of Scientific Computing, 66 (2016), pp. 870-887.
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  85. Eric T. Chung, Yalchin Efendiev, Wing Tat Leung and Jun Ren. Multiscale simulations for coupled flow and transport using the generalized multiscale finite element method. Computation, 3 (2015), pp. 670-686.
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  86. Siu Wun Cheung, Eric Chung, Hyea Hyun Kim and Yue Qian. Staggered discontinuous Galerkin methods for the incompressible Navier-Stokes equations. Journal of Computational Physics, 302 (2015), pp. 251-266.
    [download]
  87. Eric T. Chung, Yalchin Efendiev and Wing Tat Leung. Residual-driven online Generalized multiscale finite element methods. Journal of Computational Physics, 302 (2015), pp. 176-190.
    [download]
  88. Hyea Hyun Kim and Eric T. Chung. A BDDC algorithm with optimally enriched coarse spaces for two-dimensional elliptic problems with oscillatory and high contrast coefficients. SIAM Multiscale Modeling and Simulation, 13 (2015), pp. 571-593.
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  89. Eric T. Chung, Yalchin Efendiev, Guanglian Li and Maria Vasilyeva. Generalized multiscale finite element methods for problems in perforated heterogeneous domains. Applicable Analysis, (2015)
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  90. Kai Gao, Shubin Fu, Richard L Gibson, Eric T. Chung and Yalchin Efendiev. Generalized multiscale finite element method (GMsFEM) for elastic wave propagation in heterogeneous, anisotropic media. Journal of Computational Physics, 295 (2015), pp. 161-188.
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  91. Kai Gao, Eric T. Chung, Richard L. Gibson, Shubin Fu and Yalchin Efendiev. A numerical homogeneization method for heterogenous, anisotropic elastic media based on multiscale theory. Geophysics, 80 (2015), pp. D385-D401.
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  92. Eric T. Chung, Chi Yeung Lam and Jianliang Qian. A staggered discontinuous Galerkin method for the simulation of seismic waves with surface topography. Geophysics, 80 (2015), pp. T119-T135.
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  93. Eric Chung, Yalchin Efendiev and Chak Shing Lee. Mixed generalized multiscale finite element methods and applications. SIAM Multiscale Modeling and Simulation, 13 (2015), pp. 338-366.
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  94. Eric Chung, Yalchin Efendiev and Wing Tat Leung. Generalized multiscale finite element method for wave propagation in heterogeneous media. SIAM Multiscale Modeling and Simulation, 12 (2014), pp. 1691-1721.
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  95. Liuqiang Zhong, Eric T. Chung and Chunmei Liu. Fast Solvers for the symmetric IPDG discretization of second order elliptic problems. International Journal of Numerical Analysis and Modeling, 12 (2015), pp. 455-475.
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  96. Hiu Ning Chan and Eric T. Chung. A staggered discontinuous Galerkin method with local TV regularization for the Burgers equation. Numerical Mathematics: Theory, Methods and Applications, 8 (2015), pp. 451-474.
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  97. Eric T. Chung and Tang Fei Yu. Staggered-grid spectral element methods for elastic wave simulations. Journal of Computational and Applied Mathematics, 285 (2015), pp. 132-150.
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  98. Hyea Hyun Kim, Eric T. Chung and Chak Shing Lee. FETI-DP preconditioners for a staggered discontinuous Galerkin formulation of the two-dimensional Stokes problem. Computers and Mathematics with Applications, 68 (2014), pp. 2233-2250.
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  99. Eric T. Chung, Yalchin Efendiev and Shubin Fu. Generalized multiscale finite element method for elasticity equations. GEM International Journal on Geomathematics, 5 (2014), pp. 225-254.
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  100. Eric Chung, Man Chun Yuen and Liuqiang Zhong. A-posteriori error analysis for a staggered discontinuous Galerkin discretization of the time-harmonic Maxwell's equations. Applied Mathematics and Computation, 237 (2014), pp. 613-631.
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  101. Eric T. Chung, Yalchin Efendiev and Guanglian Li. An adaptive GMsFEM for high contrast flow problems. Journal of Computational Physics, 273 (2014), pp. 54-76.
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  102. Hyea Hyun Kim, Eric T. Chung and Chak Shing Lee. A BDDC algorithm for a class of staggered discontinuous Galerkin methods. Computers and Mathematics with Applications, 67 (2014), pp. 1373-1389.
    [download]
  103. Eric Chung, Bernardo Cockburn and Guosheng Fu. The staggered DG method is the limit of a hybridizable DG method. SIAM Journal on Numerical Analysis, 52 (2014), pp. 915-932.
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  104. Richard L. Gibson, Kai Gao, Eric Chung and Yalchin Efendiev. Multiscale modeling of acoustic wave propagation in two-dimensional media. Geophysics, 79 (2014), pp. T61-T75.
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  105. Eric T. Chung and Hyea Hyun Kim. A deluxe FETI-DP algorithm for a hybrid staggered discontinuous Galerkin method for H(curl)-elliptic problems. International Journal for Numerical Methods in Engineering, 98 (2014), pp. 1-23.
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  106. Wensheng Zhang, Eric T. Chung and Chaowei Wang. Stability for imposing absorbing boundary conditions in the finite element simulation of acoustic wave propagation. Journal of Computational Mathematics, 32 (2014), pp. 1-20.
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  107. Hyea Hyun Kim, Eric T. Chung and Chak Shing Lee. A staggered discontinuous Galerkin method for the Stokes system. SIAM Journal on Numerical Analysis, 51 (2013), pp. 3327-3350.
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  108. Wensheng Zhang, Li Tong and Eric Chung. A hybrid finite difference/control volume method for the three dimensional poroelastic wave equations in the spherical coordinate system. Journal of Computational and Applied Mathematics, 255 (2014), pp. 812-824.
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  109. Wensheng Zhang, Li Tong and Eric T. Chung. Exact nonreflecting boundary conditions for three dimensional poroelastic wave equations. Communications in Mathematical Sciences, 12 (2014), pp. 61-98.
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  110. Eric T. Chung and Jeff C. F. Wong. A TV-based iterative regularization method for the solutions of thermal convection problems. Communications in Computational Physics, 14 (2013), pp. 1120-1146.
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  111. Eric T. Chung, Hyea Hyun Kim and Olof Widlund. Two-level overlapping Schwarz algorithms for a staggered discontinuous Galerkin method. SIAM Journal on Numerical Analysis, 51 (2013), pp. 47-67.
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  112. Eric T. Chung, Patrick Ciarlet Jr. and Tang Fei Yu. Convergence and superconvergence of staggered discontinuous Galerkin methods for the three-dimensional Maxwell's equations on Cartesian grids. Journal of Computational Physics, 235 (2013), pp. 14-31.
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  113. Eric T. Chung and Wing Tat Leung. A sub-grid structure enhanced discontinuous Galerkin method for multiscale diffusion and convection-diffusion problems. Communications in Computational Physics, 14 (2013), pp. 370-392.
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  114. Eric T. Chung and Patrick Ciarlet Jr. A staggered discontinuous Galerkin method for wave propagation in media with dielectrics and meta-materials. Journal of Computational and Applied Mathematics, 239 (2013), pp. 189-207.
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  115. Hiu Ning Chan, Eric T. Chung and Gary Cohen. Stability and dispersion analysis of staggered discontinuous Galerkin method for wave propagation. International Journal of Numerical Analysis and Modeling, 10 (2013), pp. 233-256.
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  116. Eric T. Chung and Chak Shing Lee. A staggered discontinuous Galerkin method for the convection-diffusion equation. Journal of Numerical Mathematics, 20 (2012), pp. 1-31.
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  117. Eric T. Chung and Chak Shing Lee. A staggered discontinuous Galerkin method for the curl-curl operator. IMA Journal on Numerical Analysis, 32 (2012), pp. 1241-1265.
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  118. Wensheng Zhang, Li Tong and Eric T. Chung. Efficient simulation of wave propagation with implicit finite difference schemes. Numerical Mathematics: Theory, Methods and Applications, 5 (2012), pp. 205-228.
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  119. Wensheng Zhang, Li Tong and Eric T. Chung. A new high accuracy locally one-dimensional scheme for the wave equation. Journal of Computational and Applied Mathematics, 236 (2011), pp. 1343-1353.
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  120. Eric T. Chung, Jianliang Qian, Gunther Uhlmann and Hongkai Zhao. An adaptive phase space method with application to reflection traveltime tomography. Inverse Problems, 27 (2011), 115002.
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  121. Eric T. Chung, Yalchin Efendiev and Richard L. Gibson. An energy-conserving discontinuous multiscale finite element method for the wave equation in heterogeneous media. Advances in Adaptive Data Analysis, 3 (2011), pp. 251-268.
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  122. Eric T. Chung and Yalchin Efendiev. Reduced-contrast approximations for high-contrast multiscale flow problems. SIAM Multiscale Modeling and Simulation, 8 (2010), pp. 1128-1153.
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  123. Eric T. Chung and Bjorn Engquist. Optimal discontinuous Galerkin methods for the acoustic wave equation in higher dimensions. SIAM Journal on Numerical Analysis, 47 (2009), pp. 3820-3848.
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  124. Eric Chung, Jianliang Qian, Gunther Uhlmann and Hong-kai Zhao. A new phase space method for recovering index of refraction from travel times. Inverse Problems, 23 (2007), pp. 309-329.
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  125. Eric T. Chung and Bjorn Engquist. Optimal discontinuous galerkin methods for wave propagation. SIAM Journal on Numerical Analysis, 44 (2006), pp. 2131-2158.
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  126. Eric T. Chung, Tony F. Chan and Xue Cheng Tai. Electrical impedance tomography using level set representation and total variational regularization. Journal of Computational Physics, 205 (2005), pp. 357-372
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  127. Eric T. Chung and Bjorn Engquist. Convergence analysis of fully discrete finite volume methods for Maxwell's equations in nonhomogeneous media. SIAM Journal on Numerical Analysis, 43 (2005), pp. 303-317.
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  128. Eric T. Chung, Qiang Du and Jun Zou. Convergence analysis on a finite volume method for Maxwell's equations in non-homogeneous media. SIAM Journal on Numerical Analysis, 41 (2003), pp. 37-63.
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  129. Eric T. Chung and Jun Zou. The eigenvalues and eigenspaces of some discrete div- and curl-related operators. SIAM Journal on Matrix Analysis and Application, 24 (2003), pp. 1149-1160.
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  130. T. S. Chung and J. Zou. A finite volume method for Maxwell's equations with discontinuous physical coefficients. Int. J. Appl. Math., 7 (2001), pp. 201-224.
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Refereed Conference Proceeding:
  1. Jingyan Zhang, Siu Wun Cheung, Yalchin Efendiev, Eduardo Gildin and Eric T. Chung. Deep model reduction model learning for reservoir simulation. SPE Proceeding 193912.
  2. Wing T. Leung, Eric T. Chung, Yalchin Efendiev, Maria Vasilyeva and Mary Wheeler. Nonlinear upscaling of two-phase flow using non-local multi-continuum approach. SPE Proceeding 193889.
  3. Hyea Hyun Kim, Eric T. Chung and Junxian Wang. A two-level overlapping Schwarz method using energy minimizing multiscale finite element functions. Domain Decomposition Methods in Science and Engineering XXV.
  4. Juan Galvis, Eric Chung, Yalchin Efendiev and Wing Tat Leung. On overlapping domain decompositon methods for high-contrast multiscale problems. Domain Decomposition Methods in Science and Engineering XXIV, (2018), pp. 45-57.
  5. Hyea Hyun Kim, Eric T. Chung and Junxian Wang. Adaptive BDDC and FETI-DP methods with change of basis formulation. Domain Decomposition Methods in Science and Engineering XXIV, (2018), pp. 445-453.
  6. Eric T. Chung, Ming Fai Lam and Chi Yeung Lam. A staggered discontinuous Galerkin method for a class of nonlinear elliptic equations. ICOSAHOM 2016 Proceedings.
  7. Eric T. Chung, Oleg Iliev and Maria V. Vasilyeva. Generalized multiscale finite element method for non-Newtonian fluid flow in perforated domain. AIP Conference Proceedings 1773, 100001 (2016).
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  8. Hyea Hyun Kim, Eric T. Chung and Junxian Wang. BDDC and FETI-DP methods with enriched coarse spaces for elliptic problems with oscillatory and high contrast coefficients. Domain Decomposition Methods in Science and Engineering XXIII, (2017), pp. 179-186.
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  9. Eric Chung, Chi Yeung Lam and Jianliang Qian. A Neumann series based method for photoacoustic tomography on irregular domains. Contemporary Mathematics, 615 (2014), pp. 89-103.
  10. Kai Gao, Eric Chung, Richard Gibson, Yalchin Efendiev and Shubin Fu. A multiscale method for elastic wave equation modeling. SEG Annual meeting, Expanded Abstract, 2013.
  11. Eric Chung, Yalchin Efendiev, Richard L. Gibson and Wing Tat Leung. Generalized multiscale finite element modeling of acoustic wave propagation. SEG Annual meeting, Expanded Abstract, 2013.
  12. Eric Chung, Yalchin Efendiev and Richard Gibson. Multiscale finite element modeling of acoustic wave equation. SEG Annual meeting, Expanded Abstract 2011.
  13. Eric T. Chung and Patrick Ciarlet, Jr. Scalar transmission problems between dielectrics and metamaterials: T-coercivity and the discontinuous Galerkin approach. The 10th international conference on mathematical and numerical aspects of waves, Simon Fraser University, 2011
  14. Eric Chung, Gunther Uhlmann, Jianliang Qian and Hongkai Zhao. A phase-space formulation for elastic-wave traveltime tomography. 2008 J. Phys.: Conf. Ser. 124 012018
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  15. Eric T. Chung and Bjorn Engquist. A new discontinuous Galerkin method for Maxwell's equations. The 8th US national congress on computational mechanics, University of Texas at Austin, 2005
  16. Eric T. Chung and Bjorn Engquist. Staggered grid discontinuous Galerkin methods for Maxwell's equations. The 7th international conference on mathematical and numerical aspects of waves, Brown University, 2005

Address:
Eric T. Chung
Department of Mathematics
Room 220, Lady Shaw Building
The Chinese University of Hong Kong
Hong Kong
email: tschung@math.cuhk.edu.hk